To XXXX: To explain if a given consistent system of two linear equations can have exactly two solutions.
Answer to Problem 63E
No. A consistent system of two linear equations cannot have exactly two solutions.
Explanation of Solution
To explain: A solution of the consistent system of two linear equations is the intersection point of two straight lines represented by each of the linear equations in the given consistent system of two linear equations. Notice that if a given pair of straight lines intersect then they can have only one point of intersection. That is, a given pair of intersecting straight lines cannot have more than one intersection points. Therefore, a consistent system of two linear equations cannot have more than one solution or cannot have two or more solutions.
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning